Percentages and Double Number Lines: IM 6.3.11
[url=https://im.kendallhunt.com/MS/teachers/1/3/11/preparation.html]“Percentages and Double Number Lines”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 6.3.11
- IM 6.3.11 Lesson: Percentages and Double Number Lines
- Practice 6.3.11
- IM 6.3.11 Practice: Percentages and Double Number Lines
IM 6.3.11 Lesson: Percentages and Double Number Lines
Each of three friends—Lin, Jada, and Andre—had the goal of raising $40.
[list=1][*]Lin raised 100% of her goal.[/*][*]Jada raised 50% of her goal.[/*][*]Andre raised 150% of his goal. [br][/*][/list]How much money did each person raise? Explain your reasoning.
Elena biked 8 miles on Saturday. Use the double number line to answer the questions. Be prepared to explain your reasoning.
What is 100% of her Saturday distance?
On Sunday, she biked 75% of her Saturday distance. How far was that?
On Monday, she biked 125% of her Saturday distance. How far was that?
Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now at about 20% of its adult weight.
What will be the adult weight of the puppy?
Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight.
What will be the adult weight of Andre’s puppy?
What is the same about Jada and Andre’s puppies? What is different?[br]
A loaf of bread costs $2.50 today. The same size loaf cost 20 cents in 1955.
What percentage of today’s price did someone in 1955 pay for bread?
A job pays $10.00 an hour today. If the same percentage applies to income as well, how much would that job have paid in 1955?[br]
IM 6.3.11 Practice: Percentages and Double Number Lines
Solve each problem. If you get stuck, consider using the double number lines.
During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?[br]
Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today? Make use of the applet below.[br]
A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults? You can use the double number line in the applet below.
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain your reasoning.
Diego has a skateboard, scooter, bike, and go-cart. He wants to know which vehicle is the fastest. A friend records how far Diego travels on each vehicle in 5 seconds. For each vehicle, Diego travels as fast as he[br] can along a straight, level path.[br][br][img]data:image/png;base64,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[/img][br]What is the distance each vehicle traveled in centimeters?
Rank the vehicles in order from fastest to slowest.[br]
It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate:
How many pounds of mashed potatoes can they make with 15 pounds of potatoes?[br]
How many pounds of potatoes are needed to make 50 pounds of mashed potatoes?[br]